## Ramm, Alexander G.

Compute Distance To:
 Author ID: ramm.alexander-g Published as: Ramm, A. G.; Ramm, Alexander G.; Ramm, Alexander more...less External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 549 Publications since 1963, including 18 Books 4 Contributions as Editor · 1 Further Contribution Reviewing Activity: 159 Reviews Co-Authors: 72 Co-Authors with 158 Joint Publications 1,982 Co-Co-Authors
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### Co-Authors

 391 single-authored 20 Hoang, Nguyen Si 17 Katsevich, Alexander I. 15 Gutman, Semion 8 Smirnova, Alexandra B. 7 Mishnaevskij, P. A. 7 Zaslavsky, Alexander I. 5 Airapetyan, Ruben G. 5 Indratno, Sapto Wahyu 5 Shifrin, Efim I. 4 Shivakumar, Pappur N. 4 Stefanov, Plamen D. 4 Weaver, O. L. 3 Alber, Hans-Dieter 3 Andriychuk, M. I. 2 Ammari, Habib M. 2 Dolph, Charles L. 2 Kon, Mark A. 2 Li, Lige 2 Li, Peiqing 2 Raphael, Louise A. 2 Roy, D. N. Ghosh 2 Schechter, Martin 2 Scheid, Werner 2 Simon, Barry 2 Somersalo, Erkki 1 Ahn, Soyoung 1 Athanasiadis, Christodoulos E. 1 Berman, Gennady P. 1 Boikov, Ilya V. 1 Brownell, F. H. III 1 Chen, Weidong 1 Choi, U Jin 1 Couchman, Luise S. 1 Desbat, Laurent 1 Devinatz, Allen 1 Enss, Volker 1 Faber, Vance 1 Fabrikant, Valery I. 1 Favini, Angelo 1 Galstian, Anahit 1 Gesztesy, Fritz 1 Gol’dshtein, Vladimir Mikhailovich 1 Goodrich, Robert Kent 1 Gustafson, Karl Edwin 1 Harris, Jerry M. 1 Hartman, R. L. 1 Howland, James S. 1 Hudson, Robin Lyth 1 Ion, Patrick D. F. 1 Izquierdo, B. C. 1 Jaffé, Charles 1 Johanson, G. 1 Jones, William Branham 1 Kaleps, I. 1 Kaltenbacher, Barbara 1 Klink, William H. 1 Koshkin, S. V. 1 Kozhevnikov, Alexander 1 Kristensson, Gerhard 1 Levitan, Boris Moiseevich 1 Liflyand, Elijah 1 Lorenzi, Alfredo 1 Makrakis, George N. 1 Marchand, Jean-Paul 1 Markushevich, Dimitri Genrikhovich 1 Martin, Paul Andrew 1 Misra, Baidyanath 1 Neubauer, Andreas 1 Olshansky, Yaakov 1 Pang, Peter Y. H. 1 Parthasarathy, Kalyanapuram Rangachari 1 Porru, Giovanni 1 Reinhardt, William P. 1 Rona, Aldo 1 Ruiz, Alberto 1 Sammartino, Marco Maria Luigi 1 Schroeck, Franklin E. jun. 1 Seddighin, Morteza 1 Shcherpov, A. V. 1 Shirts, Randall B. 1 Sigal, Israel Michael 1 Sinha, Kalyan B. 1 Sjöstrand, Johannes 1 Stratis, Ioannis G. 1 Ström, Staffan 1 Tadjeran, H. 1 Taylor, Bert Alan 1 Thron, Wolfgang Joseph 1 Ton-That, Tuong 1 van der Sluis, Abraham 1 Van, Cong 1 Volpert, Vitaly A. 1 Weck, Norbert 1 Weder, Ricardo A. 1 Weglein, Arthur B. 1 Werner, Peter 1 Witsch, Karl Josef 1 Yan, Guozheng
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### Serials

 55 Journal of Mathematical Analysis and Applications 46 Applied Mathematics Letters 26 Inverse Problems 24 Journal of Mathematical Physics 22 Journal of Inverse and Ill-Posed Problems 16 Differential Equations 15 Differentsial’nye Uravneniya 14 Physics Letters. A 13 Applicable Analysis 10 Communications in Nonlinear Science and Numerical Simulation 9 Proceedings of the American Mathematical Society 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Mathematical and Computer Modelling 8 Mathematical Inequalities & Applications 7 Computers & Mathematics with Applications 7 Mathematical Methods in the Applied Sciences 7 Journal of Physics A: Mathematical and General 7 International Journal of Computing Science and Mathematics 6 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 6 Reports on Mathematical Physics 6 Annales Polonici Mathematici 6 Acta Applicandae Mathematicae 6 International Journal of Pure and Applied Mathematics 5 Journal of Computational and Applied Mathematics 5 Mathematical Modelling of Natural Phenomena 4 Soviet Mathematics. Doklady 4 Nonlinear Functional Analysis and Applications 4 Journal of Applied Mathematics and Computing 4 International Journal of Applied Mathematical Sciences 4 Eurasian Mathematical Journal 3 American Mathematical Monthly 3 Revue Roumaine de Mathématiques Pures et Appliquées 3 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 3 International Journal of Mathematics and Mathematical Sciences 3 Mathematische Nachrichten 3 Proceedings of the Japan Academy. Series A 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Bulletin of the Polish Academy of Sciences, Mathematics 3 Analysis (München) 3 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 3 The Australian Journal of Mathematical Analysis and Applications 3 Synthesis Lectures on Mathematics and Statistics 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Mathematics of Computation 2 Prikladnaya Matematika i Mekhanika 2 Journal für die Reine und Angewandte Mathematik 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Numerical Functional Analysis and Optimization 2 Comptes Rendus Mathématiques de l’Académie des Sciences 2 Panamerican Mathematical Journal 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Doklady, Akademiya Nauk Azerbaĭdzhanskoĭ SSR 2 SIAM Journal on Applied Mathematics 2 Soviet Physics. Doklady 2 Bulletin of the American Mathematical Society. New Series 2 Russian Academy of Sciences. Doklady. Mathematics 2 Zagadnienia Drgań Nieliniowych 2 International Journal of Differential Equations and Applications 2 Comptes Rendus. Mécanique. Académie des Sciences, Paris 2 Inverse Problems in Science and Engineering 2 Pitman Monographs and Surveys in Pure and Applied Mathematics 2 Journal of Physics A: Mathematical and Theoretical 2 Journal of Abstract Differential Equations and Applications (JADEA) 2 S$$\vec{\text{e}}$$MA Journal 2 Mathematics 1 Modern Physics Letters B 1 International Journal of Modern Physics B 1 Communications in Mathematical Physics 1 International Journal of Engineering Science 1 Journal d’Analyse Mathématique 1 Journal of Statistical Physics 1 Mathematical Notes 1 Russian Mathematical Surveys 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 BIT 1 Bulletin of the London Mathematical Society 1 Integral Equations and Operator Theory 1 Journal of Differential Equations 1 Mathematische Zeitschrift 1 Numerische Mathematik 1 Siberian Mathematical Journal 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Mathematicae Applicatae Sinica. English Series 1 Asymptotic Analysis 1 Differential and Integral Equations 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 Doklady Bolgarskoĭ Akademii Nauk 1 Izvestiya Akademii Nauk Armyanskoi SSR. Matematika 1 Mathematics of the USSR, Sbornik 1 Problemy Peredachi Informatsii 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 The Journal of Fourier Analysis and Applications 1 Teoriya Ĭmovirnosteĭ ta Matematychna Statystyka 1 Journal of Applied Analysis 1 Methods of Functional Analysis and Topology 1 Annalen der Physik. 8th Series ...and 27 more Serials
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### Fields

 277 Partial differential equations (35-XX) 140 Numerical analysis (65-XX) 126 Operator theory (47-XX) 78 Optics, electromagnetic theory (78-XX) 64 Integral equations (45-XX) 48 Quantum theory (81-XX) 46 Ordinary differential equations (34-XX) 39 Integral transforms, operational calculus (44-XX) 28 Geophysics (86-XX) 26 Fluid mechanics (76-XX) 20 Biology and other natural sciences (92-XX) 18 Probability theory and stochastic processes (60-XX) 17 Mechanics of deformable solids (74-XX) 15 Potential theory (31-XX) 13 Systems theory; control (93-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Functional analysis (46-XX) 10 Statistics (62-XX) 8 Approximations and expansions (41-XX) 7 Mechanics of particles and systems (70-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Differential geometry (53-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 General and overarching topics; collections (00-XX) 5 Functions of a complex variable (30-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Real functions (26-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Special functions (33-XX) 2 Computer science (68-XX) 2 Relativity and gravitational theory (83-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

375 Publications have been cited 2,075 times in 850 Documents Cited by Year
Scattering by obstacles. Zbl 0607.35006
Ramm, A. G.
1986
Inverse problems for parabolic equations. Zbl 1162.35384
Ramm, A. G.
2005
On stable numerical differentiation. Zbl 0973.65015
Ramm, Alexander G.; Smirnova, Alexandra B.
2001
The Radon transform and local tomography. Zbl 0863.44001
Ramm, A. G.; Katsevich, A. I.
1996
Theory and applications of some new classes of integral equations. Zbl 0456.45001
Ramm, A. G.
1980
Recovery of the potential from fixed energy scattering data. Zbl 0632.35075
Ramm, A. G.
1988
Multidimensional inverse scattering problems. Zbl 0746.35056
Ramm, Alexander G.
1992
An inverse problem for the wave equation. Zbl 0697.35164
Ramm, A. G.; Sjöstrand, J.
1991
Inverse Problems. Mathematical and analytical techniques with applications to engineering. Zbl 1083.35002
Ramm, Alexander G.
2005
Dynamical systems method for solving operator equations. Zbl 1073.47056
Ramm, A. G.
2004
Wave scattering by small bodies of arbitrary shapes. Zbl 1081.78001
Ramm, Alexander G.
2005
Random fields estimation theory. Zbl 0712.47042
Ramm, A. G.
1990
Numerical solution of 3D inverse scattering problems with noisy discrete fixed-energy data. Zbl 0760.65114
Ramm, A. G.
1992
Property C and an inverse problem for a hyperbolic equation. Zbl 0729.35147
Ramm, A. G.; Rakesh
1991
A simple proof of the Fredholm alternative and a characterization of the Fredholm operators. Zbl 1036.47005
Ramm, A. G.
2001
Many-body wave scattering by small bodies and applications. Zbl 1152.81588
Ramm, A. G.
2007
Completeness of the products of solutions of PDE and inverse problems. Zbl 0728.35130
Ramm, A. G.
1990
Dynamical systems method for solving operator equations. Zbl 1245.37012
Ramm, Alexander G.
2007
An inverse problem for the heat equation. Zbl 0987.35164
Ramm, A. G.
2001
Multidimensional inverse problems and completeness of the products of solutions to PDE. Zbl 0632.35076
Ramm, A. G.
1988
Uniqueness theorems for multidimensional inverse problems with unbounded coefficients. Zbl 0676.35081
Ramm, A. G.
1988
On completeness of the products of harmonic functions. Zbl 0602.35015
Ramm, A. G.
1986
Reconstructing singularities of a function from its Radon transform. Zbl 0784.44003
Ramm, A. G.; Zaslavsky, A. I.
1993
Inequalities for the minimal eigenvalue of the Laplacian in an annulus. Zbl 0917.35084
Ramm, A. G.; Shivakumar, P. N.
1998
Completeness of the products of solutions to PDE and uniqueness theorems in inverse scattering. Zbl 0636.35066
Ramm, A. G.
1987
Dynamical systems method (DSM) and nonlinear problems. Zbl 1145.47047
Ramm, A. G.
2005
An inverse scattering problem with part of the fixed-energy phase shifts. Zbl 0943.35106
Ramm, A. G.
1999
Stable solutions of some ill-posed problems. Zbl 0469.65034
Ramm, A. G.
1981
Über numerische Differentiation. Zbl 0187.10504
Ramm, A. G.
1968
Singularities of the Radon transform. Zbl 0767.44002
Ramm, A. G.; Zaslavsky, A. I.
1993
Dynamical systems and discrete methods for solving nonlinear ill-posed problems. Zbl 0960.65069
Airapetyan, Ruben G.; Ramm, Alexander G.
2000
Numerical inversion of the Laplace transform from the real axis. Zbl 0966.65102
Airapetyan, Ruben G.; Ramm, Alexander G.
2000
Discrepancy principle for the dynamical systems method. Zbl 1070.47006
Ramm, A. G.
2005
Wave scattering by many small particles embedded in a medium. Zbl 1220.35025
Ramm, A. G.
2008
Dynamical systems method (DSM) for selfadjoint operators. Zbl 1125.34041
Ramm, A. G.
2007
A new approach to inverse spectral theory. III: Short-range potentials. Zbl 0980.34019
Ramm, Alexander; Simon, Barry
2000
Property C for ODEs and applications to inverse problems. Zbl 0964.34078
Ramm, A. G.
2000
A simple proof of the uniqueness theorem in impedance tomography. Zbl 0654.35027
Ramm, A. G.
1988
Inversion of limited-angle tomographic data. Zbl 0742.44004
Ramm, A. G.
1991
Distribution of particles which produces a “smart” material. Zbl 1302.35136
Ramm, A. G.
2007
Uniqueness theorems for inverse obstacle scattering problems in Lipschitz domains. Zbl 0844.35136
Ramm, A. G.
1995
Stability estimates in inverse scattering. Zbl 0756.35116
Ramm, A. G.
1992
Dynamical systems gradient method for solving nonlinear equations with monotone operators. Zbl 1165.47049
Hoang, N. S.; Ramm, A. G.
2009
Solving ill-conditioned linear algebraic systems by the dynamical systems method. Zbl 1258.65036
Hoang, N. S.; Ramm, A. G.
2008
Multidimensional inverse scattering problems and completeness of the products of solutions to homogeneous PDE. Zbl 0694.35213
Ramm, A. G.
1989
Numerical method for solving 3D inverse scattering problems. Zbl 0713.35097
Ramm, A. G.
1988
Uniqueness theorems for 3D inverse problems with incomplete data. Zbl 0721.35087
Ramm, A. G.
1990
On the limit amplitude principle for a layer. Zbl 0565.35066
Ramm, A. G.; Werner, P.
1985
Inversion of incomplete Radon transform. Zbl 0760.44001
Ramm, A. G.; Katsevich, A. I.
1992
Inversion of limited-angle tomographic data. II. Zbl 0760.44002
Ramm, A. G.
1992
An iterative scheme for solving nonlinear equations with monotone operators. Zbl 1169.65047
Hoang, N. S.; Ramm, A. G.
2008
Wave scattering by small bodies and creating materials with a desired refraction coefficient. Zbl 1302.35138
Ramm, Alexander G.
2011
New methods for finding values of the jumps of a function from its local tomographic data. Zbl 0840.65134
Katsevich, A. I.; Ramm, A. G.
1995
Addendum to the article “Multidimensional inverse problems and completeness of the products of solutions to PDE”. Zbl 0699.35259
Ramm, A. G.
1989
Continuous analog of the Gauss-Newton method. Zbl 0936.65065
Airapetyan, R. G.; Ramm, A. G.; Smirnova, A. B.
1999
Continuous methods for solving nonlinear ill-posed problems. Zbl 0964.47035
Airapetyan, Ruben G.; Ramm, Alexander G.; Smirnova, Alexandra B.
2000
Dynamical systems method for solving nonlinear equations with monotone operators. Zbl 1201.65086
Hoang, Nguyen Si; Ramm, Alexander G.
2010
Distribution of particles which produces a desired radiation pattern. Zbl 1350.35140
Ramm, A. G.
2007
Dynamical systems method for ill-posed equations with monotone operators. Zbl 1083.47058
Ramm, A. G.
2005
Corrigendum: Recovery of the potential from fixed-energy scattering data. Zbl 0688.35101
Ramm, A. G.
1989
Mathematical foundations of the singularity and eigenmode expansion methods (SEM and EEM). Zbl 0486.35065
Ramm, A. G.
1982
Dynamical systems method (DSM) for unbounded operators. Zbl 1095.47022
Ramm, A. G.
2006
Continuous modified Newton’s-type method for nonlinear operator equations. Zbl 1225.47108
Ramm, A. G.; Smirnova, Alexandra B.; Favini, Angelo
2003
A scheme for stable numerical differentiation. Zbl 1086.65013
Ahn, Soyoung; Choi, U. Jin; Ramm, Alexander G.
2006
Spektraleigenschaften des Schrödinger-Operators in Gebieten mit unbeschränktem Rand. Zbl 0137.07601
Ramm, A. G.
1965
Stability of a numerical method for solving the 3 D inverse scattering problem with fixed energy data. Zbl 0708.65113
Ramm, A. G.
1991
Multidimensional inverse problems: Uniqueness theorems. Zbl 0713.35096
Ramm, A. G.
1988
Global convergence for ill-posed equations with monotone operators: The dynamical systems method. Zbl 1048.65056
Ramm, A. G.
2003
Random fields estimation. Zbl 1090.65009
Ramm, Alexander G.
2005
Theory of ground-penetrating radars. III. Zbl 0973.78017
Ramm, A. G.
2000
An inverse problem for the Helmholtz equation in a semi-infinite medium. Zbl 0619.35109
Ramm, A. G.
1987
Filtered back projection method for inversion of incomplete tomographic data. Zbl 0764.65080
Katsevich, A. I.; Ramm, A. G.
1992
Stability of the inversion of 3D fixed-frequency scattering data. Zbl 0765.65119
Ramm, A. G.
1992
Electromagnetic wave scattering by small bodies. Zbl 1221.78020
Ramm, A. G.
2008
Behavior of the solutions to exterior boundary value problems at low frequencies. Zbl 0603.35026
Ramm, A. G.
1986
Convergence rates of the continuous regularized Gauss-Newton method. Zbl 1016.65038
Kaltenbacher, B.; Neubauer, A.; Ramm, A. G.
2002
Theoretical and practical aspects of singularity and eigenmode expansion methods. Zbl 1005.78503
Ramm, Alexander G.
1980
On the discrepancy principle. Zbl 1038.47007
Ramm, A. G.
2003
Dynamical systems method for solving nonlinear operator equations. Zbl 1077.47054
Ramm, A. G.
2004
Dynamical systems method for solving linear ill-posed problems. Zbl 1210.47036
Ramm, A. G.
2009
Inversion of the Laplace transform. Zbl 0622.44001
Ramm, A. G.
1986
Inverse scattering on half-line. Zbl 0631.35085
Ramm, A. G.
1988
Numerical method for solving 3D inverse problems of geophysics. Zbl 0663.65133
Ramm, A. G.
1988
A discrepancy principle for equations with monotone continuous operators. Zbl 1225.47081
Hoang, N. S.; Ramm, A. G.
2009
A nonlinear inequality and applications. Zbl 1195.34020
Hoang, N. S.; Ramm, A. G.
2009
Wave scattering by small impedance particles in a medium. Zbl 1209.35032
Ramm, A. G.
2007
A recipe for making materials with negative refraction in acoustics. Zbl 1220.35024
Ramm, A. G.
2008
Symmetry problem. Zbl 1264.31003
Ramm, A. G.
2013
On unbounded operators and applications. Zbl 1159.47004
Ramm, A. G.
2008
Iterative solution of linear equations with unbounded operators. Zbl 1118.65054
Ramm, A. G.
2007
On the inverse diffraction problem. Zbl 0589.35023
Ramm, A. G.
1984
A uniqueness theorem for a boundary inverse problem. Zbl 0696.35191
Ramm, A. G.
1988
Calculating singular integrals as an ill-posed problem. Zbl 0697.65005
Ramm, A. G.; van der Sluis, A.
1990
A uniqueness theorem for two-parameter inversion. Zbl 0699.35250
Ramm, A. G.
1988
Dynamical systems method (DSM) for nonlinear equations in Banach spaces. Zbl 1083.65056
Ramm, A. G.
2006
Ill-posed problems with unbounded operators. Zbl 1107.47009
Ramm, A. G.
2007
Convergence of the T-matrix approach in scattering theory. II. Zbl 0536.35059
Kristensson, G.; Ramm, A. G.; Ström, S.
1983
Compactness of the embedding operators for rough domains. Zbl 0976.46022
2001
Estimates from below for Lebesgue constants. Zbl 0887.42007
Liflyand, E. R.; Ramm, A. G.; Zaslavsky, A. I.
1996
One-dimensional inverse scattering and spectral problems. Zbl 1081.35150
Ramm, A. G.
2004
The Navier-Stokes problem. Zbl 1461.35003
Ramm, Alexander G.
2021
Symmetry problems. The Navier-Stokes problem. Zbl 1412.35003
Ramm, Alexander G.
2019
Symmetry problems for the Helmholtz equation. Zbl 1426.35016
Ramm, Alexander G.
2019
Inverse obstacle scattering with non-over-determined scattering data. Zbl 1428.35003
Ramm, Alexander G.
2019
Solution of the Navier-Stokes problem. Zbl 1410.35100
Ramm, Alexander G.
2019
Scattering by obstacles and potentials. Zbl 1394.35306
Ramm, Alexander G.
2018
Solution to the Pompeiu problem and the related symmetry problem. Zbl 1351.45013
Ramm, A. G.
2017
Global existence, uniqueness and estimates of the solution to the Navier-Stokes equations. Zbl 1404.35330
Ramm, Alexander G.
2017
Uniqueness of the solution to inverse obstacle scattering with non-over-determined data. Zbl 1381.35246
Ramm, Alexander G.
2016
Existence and uniqueness of the global solution to the Navier-Stokes equations. Zbl 1347.35193
Ramm, Alexander G.
2015
Scattering of electromagnetic waves by many small perfectly conducting or impedance bodies. Zbl 1330.78008
Ramm, A. G.
2015
A symmetry result for strictly convex domains. Zbl 1311.52003
Ramm, Alexander G.
2015
Existence of the solution to electromagnetic wave scattering problem for an impedance body of an arbitrary shape. Zbl 1318.35116
Ramm, Alexander G.; Schechter, Martin
2015
Inverse scattering on the half-line revisited. Zbl 1336.34124
Ramm, A. G.
2015
Electromagnetic wave scattering by small perfectly conducting particles and applications. Zbl 1300.78008
Ramm, A. G.
2014
Recovery of the potential from $$I$$-function. Zbl 1310.47062
Ramm, A. G.
2014
Symmetry problem. Zbl 1264.31003
Ramm, A. G.
2013
Scattering of acoustic and electromagnetic waves by small impedance bodies of arbitrary shapes. Applications to creating new engineered materials. Zbl 1300.78001
Ramm, Alexander G.
2013
Many-body wave scattering problems in the case of small scatterers. Zbl 1301.35170
Ramm, Alexander G.
2013
A stability result for abstract evolution problems. Zbl 1267.34113
Ramm, A. G.
2013
Large-time behavior of the weak solution to 3D Navier-Stokes equations. Zbl 1426.76094
Ramm, A. G.
2013
Heat transfer in a medium in which many small particles are embedded. Zbl 1262.35027
Ramm, A. G.
2013
Wave scattering by many small bodies: transmission boundary conditions. Zbl 1302.35137
Ramm, A. G.
2013
Scattering of electromagnetic waves by many nano-wires. Zbl 1298.78016
Ramm, Alexander G.
2013
Electromagnetic wave scattering by small impedance particles of an arbitrary shape. Zbl 1296.35181
Ramm, A. G.
2013
Convergence of time-dependent Turing structures to a stationary solution. Zbl 1259.35039
Ramm, A. G.; Volpert, V.
2013
Inverse scattering problem for the Maxwell’s equations. Zbl 1275.78005
Ramm, A. G.
2013
Retracted: A variational principle and its application to estimating the electrical capacitance of a perfect conductor. Zbl 1360.35006
Ramm, A. G.
2013
Dynamical systems method and applications. Theoretical developments and numerical examples. Zbl 1241.65053
Ramm, Alexander G.; Hoang, Nguyen Si
2012
Stability of solutions to abstract evolution equations with delay. Zbl 1258.34151
Ramm, A. G.
2012
Wave scattering by small bodies and creating materials with a desired refraction coefficient. Zbl 1302.35138
Ramm, Alexander G.
2011
Nonlinear differential inequality. Zbl 1225.26033
Hoang, Nguyen Si; Ramm, Alexander G.
2011
Uniqueness of the solution to inverse scattering problem with scattering data at a fixed direction of the incident wave. Zbl 1273.81221
Ramm, A. G.
2011
How large is the class of operator equations solvable by a DSM Newton-type method? Zbl 1217.47104
Ramm, Alexander G.
2011
Some nonlinear inequalities and applications. Zbl 1330.34034
Hoang, N. S.; Ramm, A. G.
2011
Dynamical systems method for solving nonlinear equations with monotone operators. Zbl 1201.65086
Hoang, Nguyen Si; Ramm, Alexander G.
2010
Asymptotic stability of solutions to abstract differential equations. Zbl 1211.34072
Ramm, Alexander G.
2010
A method for creating materials with a desired refraction coefficient. Zbl 1213.78025
Ramm, A. G.
2010
The dynamical systems method for solving nonlinear equations with monotone operators. Zbl 1185.47070
Hoang, N. S.; Ramm, A. G.
2010
Dynamical systems gradient method for solving ill-conditioned linear algebraic systems. Zbl 1236.65039
Hoang, N. S.; Ramm, A. G.
2010
Scattering by many small particles and creating materials with a desired refraction coefficient. Zbl 1203.78016
Andriychuk, M. I.; Ramm, A. G.
2010
DSM of Newton type for solving operator equations $$F(u) = f$$ with minimal smoothness assumptions on $$F$$. Zbl 1205.65188
Hoang, Nguyen Si; Ramm, Alexander G.
2010
Creating materials with a desired refraction coefficient: numerical experiments. Zbl 1197.78033
Indratno, Sapto W.; Ramm, Alexander G.
2010
Collocation method for solving some integral equations of estimation theory. Zbl 1446.62146
Ramm, Alexander G.
2010
Implicit function theorem via the DSM. Zbl 1200.47081
Ramm, A. G.
2010
Uniqueness theorem for an inverse scattering problem with non-overdetermined data. Zbl 1186.81115
Ramm, A. G.
2010
A nonlinear inequality and evolution problems. Zbl 1312.34038
Ramm, A. G.
2010
Dynamical systems method (DSM) for solving equations with monotone operators without smoothness assumptions on $$F{^{\prime}}(u)$$. Zbl 1190.47065
Hoang, N. S.; Ramm, A. G.
2010
Uniqueness of the solution to inverse scattering problem with backscattering data. Zbl 1219.35161
Ramm, A. G.
2010
Justification of the dynamical systems method for global homeomorphism. Zbl 1321.47155
Ramm, A. G.
2010
Dynamical systems gradient method for solving nonlinear equations with monotone operators. Zbl 1165.47049
Hoang, N. S.; Ramm, A. G.
2009
Dynamical systems method for solving linear ill-posed problems. Zbl 1210.47036
Ramm, A. G.
2009
A discrepancy principle for equations with monotone continuous operators. Zbl 1225.47081
Hoang, N. S.; Ramm, A. G.
2009
A nonlinear inequality and applications. Zbl 1195.34020
Hoang, N. S.; Ramm, A. G.
2009
Dynamical systems method for solving linear finite-rank operator equations. Zbl 1161.47059
Hoang, Nguyen Si; Ramm, Alexander G.
2009
A new version of the dynamical systems method (DSM) for solving nonlinear equations with monotone operators. Zbl 1172.47044
Hoang, Nguyen Si; Ramm, Alexander G.
2009
A collocation method for solving integral equations. Zbl 1187.65152
Ramm, A. G.
2009
Inverse scattering with non-overdetermined data. Zbl 1236.81183
Ramm, A. G.
2009
An iterative method for solving Fredholm integral equations of the first kind. Zbl 1191.65180
Indratno, Sapto W.; Ramm, A. G.
2009
Creating desired potentials by embedding small inhomogeneities. Zbl 1373.35101
Ramm, A. G.
2009
Symmetry problems: 2. Zbl 1169.53320
Hoang, N. S.; Ramm, A. G.
2009
Dynamical systems method for solving ill-conditioned linear algebraic systems. Zbl 1194.65063
Indratno, Sapto W.; Ramm, A. G.
2009
Asymptotics of the solution to Robin problem. Zbl 1180.35180
Alber, H.-D.; Ramm, A. G.
2009
Preparing materials with a desired refraction coefficient and applications. Zbl 1183.78016
Ramm, A. G.
2009
Property C for ODE and applications to an inverse problem for a heat equation. Zbl 1197.34174
Ramm, A. G.
2009
Preparing materials with a desired refraction coefficient pages. Zbl 1238.82050
Ramm, A. G.
2009
Attractors of strongly dissipative systems. Zbl 1175.37079
Ramm, A. G.
2009
An inverse problem for a heat equation with piecewise-constant thermal conductivity. Zbl 1293.35364
Hoang, Nguyen Si; Ramm, Alexander G.
2009
Existence of solution to an evolution equation and a justification of the DSM for equations with monotone operators. Zbl 1194.47090
Hoang, N. S.; Ramm, A. G.
2009
Wave scattering by many small particles embedded in a medium. Zbl 1220.35025
Ramm, A. G.
2008
Solving ill-conditioned linear algebraic systems by the dynamical systems method. Zbl 1258.65036
Hoang, N. S.; Ramm, A. G.
2008
An iterative scheme for solving nonlinear equations with monotone operators. Zbl 1169.65047
Hoang, N. S.; Ramm, A. G.
2008
Electromagnetic wave scattering by small bodies. Zbl 1221.78020
Ramm, A. G.
2008
A recipe for making materials with negative refraction in acoustics. Zbl 1220.35024
Ramm, A. G.
2008
On unbounded operators and applications. Zbl 1159.47004
Ramm, A. G.
2008
Discrepancy principle for DSM. II. Zbl 1221.65139
Ramm, A. G.
2008
Inverse scattering problem with data at fixed energy and fixed incident direction. Zbl 1144.35474
Ramm, A. G.
2008
Electromagnetic wave scattering by many conducting small particles. Zbl 1151.78010
Ramm, A. G.
2008
Dynamical systems method (DSM) for general nonlinear equations. Zbl 1153.47056
Ramm, A. G.
2008
On stable numerical differentiation. Zbl 1166.65320
Hoang, N. S.; Ramm, A. G.
2008
Fixed-energy inverse scattering. Zbl 1144.35475
Ramm, A. G.
2008
A nonlinear inequality. Zbl 1163.40001
Hoang, Nguyen Si; Ramm, Alexander G.
2008
Some results on inverse scattering. Zbl 1168.35341
Ramm, A. G.
2008
Does negative refraction make a perfect Lens? Zbl 1225.78004
Ramm, A. G.
2008
An inverse problem with data on a part of the boundary. Zbl 1156.35487
Ramm, A. G.
2008
Many-body wave scattering by small bodies and applications. Zbl 1152.81588
Ramm, A. G.
2007
Dynamical systems method for solving operator equations. Zbl 1245.37012
Ramm, Alexander G.
2007
Dynamical systems method (DSM) for selfadjoint operators. Zbl 1125.34041
Ramm, A. G.
2007
Distribution of particles which produces a “smart” material. Zbl 1302.35136
Ramm, A. G.
2007
Distribution of particles which produces a desired radiation pattern. Zbl 1350.35140
Ramm, A. G.
2007
Wave scattering by small impedance particles in a medium. Zbl 1209.35032
Ramm, A. G.
2007
Iterative solution of linear equations with unbounded operators. Zbl 1118.65054
Ramm, A. G.
2007
Ill-posed problems with unbounded operators. Zbl 1107.47009
Ramm, A. G.
2007
Many-body wave scattering by small bodies. Zbl 1121.78005
Ramm, A. G.
2007
A symmetry problem. Zbl 1209.31004
Ramm, A. G.
2007
Materials with a desired refraction coefficient can be made by embedding small particles. Zbl 1209.35138
Ramm, A. G.
2007
Computational method for acoustic wave focusing. Zbl 1184.74039
Ramm, A. G.; Gutman, S.
2007
Dynamical systems method (DSM) for unbounded operators. Zbl 1095.47022
Ramm, A. G.
2006
A scheme for stable numerical differentiation. Zbl 1086.65013
Ahn, Soyoung; Choi, U. Jin; Ramm, Alexander G.
2006
Dynamical systems method (DSM) for nonlinear equations in Banach spaces. Zbl 1083.65056
Ramm, A. G.
2006
...and 275 more Documents
all top 5

### Cited by 830 Authors

 216 Ramm, Alexander G. 19 Katsevich, Alexander I. 16 Sini, Mourad 13 Ruiz-Medina, María Dolores 13 Yang, Chuanfu 12 Yan, Guozheng 11 Angulo, José Miguel 11 Bellassoued, Mourad 11 Hoang, Nguyen Si 10 Fu, Chuli 9 George, Santhosh 9 Kian, Yavar 9 Kim, Jeong-Hoon 8 Anh, Vo V. 8 Stefanov, Plamen D. 7 Daudé, Thierry 7 Gutman, Semion 7 Nicoleau, François 7 Yamamoto, Masahiro 7 Zhao, Zhenyu 6 Challa, Durga Prasad 6 Cheng, Jin 6 Feng, Xiaoli 6 Xu, Xiaochuan 5 Han, Bo 5 Kaltenbacher, Barbara 5 Lesnic, Daniel 5 Liu, Chein-Shan 5 Qian, Zhi 5 Qu, Gangrong 5 Tatar, Nasser-eddine 5 Witsch, Karl Josef 4 Anikonov, Dmitriĭ Sergeevich 4 Argyros, Ioannis Konstantinos 4 Dahmani, Abdelnasser 4 Hu, Guanghui 4 Ilmavirta, Joonas 4 Ingham, Derek Binns 4 Krishnan, Venkateswaran P. 4 Liflyand, Elijah 4 Meng, Zehong 4 Nakamura, Gen 4 Oksanen, Lauri 4 Päivärinta, Lassi 4 Shobha, Monnanda Erappa 4 Weck, Norbert 4 Yoon, Ji-Hun 4 Yoshinaga, Tetsuya 4 Zhang, Yuanxiang 3 Airapetyan, Ruben G. 3 Anoop, Thazhe Veetil 3 Baglan, Irem Sakinc 3 Ben Aïcha, Ibtissem 3 Biermé, Hermine 3 Boumenir, Amin A. 3 Cheng, Hao 3 Chorwadwala, Anisa M. H. 3 Colton, David Lem 3 Djellouli, Rabia 3 Gesztesy, Fritz 3 Gol’dshtein, Vladimir Mikhailovich 3 Hon, Yiu-Chung 3 Horváth, Miklós 3 Ikehata, Masaru 3 Jiang, Ming 3 Kamran, Niky 3 Kokurin, Mikhail Yur’evich 3 Lassas, Matti J. 3 Lee, Min-Ku 3 Li, Peijun 3 Liu, Jijun 3 Liu, Kai 3 Lu, Shuai 3 Luke, David Russell 3 Maponi, Pierluigi 3 Mitrea, Marius 3 Potthast, Roland W. E. 3 Quinto, Eric Todd 3 Romanov, Sergey Y. 3 Roy, D. N. Ghosh 3 Rybkin, Alexei 3 Sabina, Federico J. 3 Schonbek, Tomas P. 3 Senapati, Soumen 3 Uhlmann, Gunther Alberto 3 Vashisth, Manmohan 3 Vu Kim Tuan 3 Wang, Haibing 3 Wang, Yanbo 3 Wei, Guangsheng 3 Wei, Ting 3 Werner, Peter 3 Xiong, Xiangtuan 3 Yurko, Vjacheslav Anatoljevich 3 Zaslavsky, Alexander I. 3 Zhao, Yue 2 Ahmad, Bashir 2 Al-Ola, Omar M. Abou 2 Alber, Hans-Dieter 2 Albeverio, Sergio A. ...and 730 more Authors
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### Cited in 237 Serials

 79 Journal of Mathematical Analysis and Applications 57 Applied Mathematics Letters 30 Journal of Computational and Applied Mathematics 29 Journal of Mathematical Physics 27 Mathematical Methods in the Applied Sciences 23 Applicable Analysis 19 Computers & Mathematics with Applications 18 Inverse Problems in Science and Engineering 16 Inverse Problems 16 Applied Mathematics and Computation 15 Journal of Differential Equations 15 Proceedings of the American Mathematical Society 14 Physics Letters. A 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Mathematical and Computer Modelling 12 Communications in Nonlinear Science and Numerical Simulation 12 Inverse Problems and Imaging 11 Transactions of the American Mathematical Society 10 Wave Motion 8 Communications in Partial Differential Equations 8 SIAM Journal on Mathematical Analysis 7 Journal of Integral Equations and Applications 7 Journal of Inverse and Ill-Posed Problems 7 Journal of Applied Mathematics and Computing 6 Communications in Mathematical Physics 6 Reports on Mathematical Physics 6 Mathematics of Computation 6 Acta Applicandae Mathematicae 6 Journal of Mathematical Sciences (New York) 5 Journal of Computational Physics 5 Chaos, Solitons and Fractals 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Journal of Functional Analysis 5 Applied Numerical Mathematics 5 International Journal of Computer Mathematics 5 Mathematical Problems in Engineering 5 Doklady Mathematics 5 Multiscale Modeling & Simulation 4 Mathematical Notes 4 Journal of Optimization Theory and Applications 4 Mathematics and Computers in Simulation 4 Mathematische Zeitschrift 4 Numerical Functional Analysis and Optimization 4 Acta Mathematicae Applicatae Sinica. English Series 4 Computational Mathematics and Mathematical Physics 4 Communications in Statistics. Theory and Methods 4 Applied and Computational Harmonic Analysis 4 The Journal of Fourier Analysis and Applications 4 Annales Henri Poincaré 4 Boundary Value Problems 3 International Journal of Engineering Science 3 Letters in Mathematical Physics 3 Transport Theory and Statistical Physics 3 Numerische Mathematik 3 Proceedings of the Japan Academy. Series A 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Communications in Numerical Methods in Engineering 3 Engineering Analysis with Boundary Elements 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Mediterranean Journal of Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications 2 Modern Physics Letters B 2 Advances in Applied Probability 2 Archive for Rational Mechanics and Analysis 2 International Journal of Solids and Structures 2 Journal d’Analyse Mathématique 2 Journal of Statistical Physics 2 Annales de l’Institut Fourier 2 The Annals of Statistics 2 Archiv der Mathematik 2 BIT 2 Integral Equations and Operator Theory 2 Journal of Approximation Theory 2 Monatshefte für Mathematik 2 Siberian Mathematical Journal 2 Moscow University Computational Mathematics and Cybernetics 2 Statistics & Probability Letters 2 Annals of Global Analysis and Geometry 2 Physica D 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Japan Journal of Industrial and Applied Mathematics 2 Journal of Global Optimization 2 Numerical Algorithms 2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Applied Mathematics 2 SIAM Review 2 Bulletin of the American Mathematical Society. New Series 2 Vestnik St. Petersburg University. Mathematics 2 Russian Mathematics 2 SIAM Journal on Scientific Computing 2 NoDEA. Nonlinear Differential Equations and Applications 2 Advances in Computational Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Abstract and Applied Analysis 2 Journal of Inequalities and Applications 2 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 2 Journal of Applied Mathematics 2 SIAM Journal on Imaging Sciences ...and 137 more Serials
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### Cited in 47 Fields

 421 Partial differential equations (35-XX) 258 Numerical analysis (65-XX) 127 Operator theory (47-XX) 95 Optics, electromagnetic theory (78-XX) 73 Integral transforms, operational calculus (44-XX) 71 Ordinary differential equations (34-XX) 64 Integral equations (45-XX) 57 Quantum theory (81-XX) 54 Fluid mechanics (76-XX) 45 Mechanics of deformable solids (74-XX) 36 Biology and other natural sciences (92-XX) 34 Harmonic analysis on Euclidean spaces (42-XX) 32 Probability theory and stochastic processes (60-XX) 25 Functional analysis (46-XX) 22 Information and communication theory, circuits (94-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 20 Differential geometry (53-XX) 19 Global analysis, analysis on manifolds (58-XX) 18 Statistics (62-XX) 17 Functions of a complex variable (30-XX) 16 Approximations and expansions (41-XX) 16 Geophysics (86-XX) 15 Potential theory (31-XX) 15 Systems theory; control (93-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Dynamical systems and ergodic theory (37-XX) 12 Statistical mechanics, structure of matter (82-XX) 11 Mechanics of particles and systems (70-XX) 11 Classical thermodynamics, heat transfer (80-XX) 9 Real functions (26-XX) 9 Operations research, mathematical programming (90-XX) 7 Relativity and gravitational theory (83-XX) 5 Convex and discrete geometry (52-XX) 5 Computer science (68-XX) 4 Difference and functional equations (39-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Abstract harmonic analysis (43-XX) 2 Special functions (33-XX) 2 General topology (54-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Manifolds and cell complexes (57-XX)

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